COMMENT: On the conditional symmetries of Levi and Winternitz
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It is pointed out that the 'conditional symmetries' of Levi and Winternitz (1989), and the 'non-classical method' first introduced by Bluman and Cole (1989), have a natural group theoretical setting. This corresponds to classifying solutions to a PDEs according to their full symmetry and not just according to their symmetries which are also symmetries of the PDE.
[1] Decio Levi,et al. Non-classical symmetry reduction: example of the Boussinesq equation , 1989 .
[2] Peter J. Olver,et al. Group-invariant solutions of differential equations , 1987 .
[3] Peter J. Olver,et al. The construction of special solutions to partial differential equations , 1986 .
[4] P. Olver. Applications of lie groups to differential equations , 1986 .
[5] M. Abud,et al. The geometry of spontaneous symmetry breaking , 1983 .